A cyclist travels at a constant speed of ztmx+cuk2xp q-f9p5g 0d1 rs+-0 dia:(vc i oi$22.0 \mathrm{~km} / \mathrm{hr}$ except for a 20 minute stop. The cyclists average speed was $17.5 \mathrm{~km} / \mathrm{hr}$. How far did the cyclist travel?

  Rank the magnitudes of the average acceleration duri 7go1u s5ynoz8w8v, cj vx4 4rxgi+vp2ng the ten second interval.

  Rank the magnitudes of the maximum velocity achieved during the ten second interu9kre2j, 5/c )rcn kyuvanr,jy)295 /kreccu u kl.

  Rank the magnitudes of the distance traveled during the ten secondynqkb 49)o( tm interval.

  A crude approximation is that the 81t-abhkdj8yc5 wyfa3 t -*hhEarth travels in a circular orbit about the Sun at constant speed, at a a3hw8ta hh yfb8j -t-5k1*ydcdistance of $150,000,000 \mathrm{~km}$ from the Sun. Which of the following is the closest for the acceleration of the Earth in this orbit?

  A child is sliding out of control with velocitcjwv .in,b (mgl 9ih lfv:g08(y $v_{\mathrm{c}}$ across a frozen lake. He runs head-on into another child, initially at rest, with 3 times the mass of the first child, who holds on so that the two now slide together. What is the velocity of the couple after the collision?

  An ice skater can rotate aboutwx s.krg;4s:l, g 5ie81cjcjk vnf+g) a vertical axis with an angular velocity $\omega_{0}$ by holding her arms straight out. She can then pull in her arms close to her body so that her angular velocity changes to $2 \omega_{0}$, without the application of any external torque. What is the ratio of her final rotational kinetic energy to her initial rotational kinetic energy?

  When a block of wood with a weip/lsycfpz:1e z48;a q ght of $30 \mathrm{~N}$ is completely submerged under water the buoyant force on the block of wood from the water is $50 \mathrm{~N}$. When the block is released it floats at the
surface. What fraction of the block will then be visible above the surface of the water when the block is floating?

  A spring has an equilibrium length of 2il6(.t;z-f qdk *ej.esfx unb-ip8ht4 v ap (..0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spring with a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of 3.0 newtons, in the opposib;phn zetx -d.fjvqfa-ps84.6el ktu (.i (i*te direction. What is the resulting length of the spring?

  Which of the following changes will result in an incr ebeee78p nf ax7*2f:xbq i3h;ease in the period of a simplphfb 7fx e7qibe*enxe;8:23 a e pendulum?

  A large metal cylindrical cup floats in a rectangular tub97e )b-(0oar*m uowuvs 7uuld half-filled with water. The tap is placed ovv* muduseauw -lo )r7o b07u(9er the cup and turned on, releasing water at a constant rate. Eventually the cup sinks to the bottom and is completely submerged. Which of the following five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identical heavy balls and lightweight rods.d+ 6vy h7ov4dr When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the compressive forced4vd h+vy6r7o in the rod is $F$. Next, three balls and three rods are placed at the vertexes and edges of an equilateral triangle (as is shown on the right). What is the compressive force in each rod in the latter case?

  The apparatus in the diagram consis0 lab1kh0b e,wt40 pbsts of a solid cylinder of radius $1 \mathrm{~cm}$ attached at the center to two disks of radius $2 \mathrm{~cm}$. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle $\theta=90^{\circ}$ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of $\theta$ for which it will not roll to the right when pulling on the thread?

  You have 5 different strin5lmd s fg ln8;o(r:t;l/hki7aup; ybjqe59x .gs with weights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is released at the top, allowing the weights to fall. Whjmq utbl ;hg snr:5 (o7 8. ;/lxadl9pky5e;ifich one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring os g6:p6.bvmukl+2vh pc cillator is displaced $2.0 \mathrm{~cm}$ from equilibrium. The $100 \mathrm{~g}$ mass passes through the equilibrium point with a speed of $0.75 \mathrm{~m} / \mathrm{s}$. What is the spring constant of the spring?

  What magnitude force does tpv q.40if 1 hez-sde,Jonathan need to exert on the physics book to keep the rope,0p-1e4fvdi h zseq t. from slipping?

  Jonathan applies a normal force that is just enoye x;8 x,cm k9iv*o(xaugh to keep the rope from slipping. Beco ;a c8 (*xxxe9kvy,imky makes a small jump, barely leaving contact with the floor of the box. Upon landing on the box, the force of the impact causes the rope to start slipping from Jonathans hand. At what speed does the box smash into the ground? Assume Jonathans normal force does not change.

  A block of mass $m=3.0 \mathrm{~kg}$ slides down one ramp, and then up a second ramp. The coefficient of kinetic friction between the block and each ramp is $\mu_{\mathrm{k}}=0.40$. The block begins at a height $\mathrm{h}_{1}=1.0 \mathrm{~m}$ above the horizontal. Both ramps are at a $30^{\circ}$ incline above the horizontal. To what height above the horizontal does the block rise on the second ramp?

  After how much time will the particlfondd zptsj/f9:yzs8r6 r7to v47)xzt5 q4o3 e first return to the origin?

  What is the maximum distance between the particle and the oribqmyo5bcr. tr o u2 b5gk4)-n3gin?

  An engineer is given a o;/f (kdi04sj fcfiajlm246 h fixed volume $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?

  This graph depicts the torque output of a hypothetical ip0qf uj64p-i n8lg39l , ohttgasoline engine as a function of rotation frequency. The engine is 46o08 ,ipt-ltghj9 3u qnplf iincapable of running outside of the graphed range.


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the surface of a uniform, stationary sphericw wnn rvi4r-;(al planet at an angle to the vertical. The particle travels in the absence of air resistan( w;v-4irnrn wce and eventually falls back onto the planet. Spaceman Fred describes the path of the particle as a parabola using the laws of projectile motion. Spacewoman Kate recalls from Keplers laws that every bound orbit
around a point mass is an ellipse (or circle), and that the gravitation due to a uniform sphere is identical to that of a point mass. Which of the following best explains the discrepancy?

  A turntable is supported on a Teflon ring t6n0l nknqkx0 37z2is9rp)q k of inner radius $R$ and outer radius $R+\sigma(\sigma << R)$, as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing $\sigma$ ), or increasing the radius (increasing $R$ ). What are the effects of these proposed changes?

  A hollow cylinder with a very thin )16gc*oly dfm / /-,f plmpmvsi6jey( wall (like a toilet paper tube) and a block are placed at rest y gmvp1*// j) ld - lpfoef,6ys6mic(mat the top of a plane with inclination $\theta$ above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. What is the coefficient of kinetic friction between the block and the plane?